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nydimaria [60]
2 years ago
12

Rebecca needs 10 ½ yards of fabric to make a quilt. She has one piece of fabric that is 2 ½ yards and another piece of fabric th

at is 4 ¼ yards. How many more yards of fabric does Rebecca need to make the quilt
Mathematics
1 answer:
muminat2 years ago
3 0

Answer:

3\frac{3}{4} yards of fabric

Step-by-step explanation:

In order to solve this problem, we should first make all of the fractions have common denominators. To do so we can turn the 1/2s into 2/4 which both equal 0.5 or 50%. Now we simply need to add together the pieces of quilt that she has and subtract that value from the total that she needs in order to calculate the amount of quilt that she is missing.

10 \frac{2}{4} - (2\frac{2}{4} + 4\frac{1}{4}) = x

10 \frac{2}{4} - 6\frac{3}{4} = x

3\frac{3}{4} = x

Finally, we can see that Rebecca needs a total of 3\frac{3}{4} yards of fabric to finish her quilt.

You might be interested in
I need an answer ASAP!!! Tyyyy
patriot [66]

Part A

x = amount of money she starts with

(4/9)x = cost of the dress

(5/9)x = amount of money leftover after buying the dress

note that 4/9 and 5/9 add to 1 to represent 100% of her money

(3/4)*(5/9)x = (15/36)x = (5/12)x = amount spent on shoes

We see that she spent 5/12 of her original amount of money on shoes.

-----------------------

We can look at a more concrete example if the previous section does not make sense.

Let's multiply the denominators 9 and 4 to get 9*4 = 36. Doing this trick will mean that the later steps won't involve decimal values.

Let's say she starts off with $36

Multiply that with 4/9 to get (4/9)*36 = 16. So in this hypothetical situation, the dress costs $16 and she's left with 36-16 = 20 dollars.

Multiply that 20 by 3/4 to get (3/4)*20 = 15

In this situation, the shoes cost $15

We'll then divide the cost of the shoes (15) over the original amount of money she started with (36)

15/36 = (3*5)/(3*12) = 5/12

-----------------------

<h3>Answer:  5/12</h3>

=======================================================

Part B

From the first section in part A, we found that:

  • (4/9)x = amount of money spent on the dress
  • (5/12)x = amount of money spent on shoes

Add those two expressions

(4/9)x + (5/12)x = (16/36)x + (15/36)x = (31/36)x

This indicates that buying the dress and shoes will cost (31/36)x dollars, where x is the original amount of money Jing has to start with.

The amount left over is (5/36)x because 5/36 adds with 31/36 to get 1.

Take 1/3 of this to get:

(1/3)*(5/36)x = (5/108)x

Then set this equal to 18 and solve for x

(5/108)x = 18

5x = 18*108

5x = 1944

x = 1944/5

x = 388.80

--------------------

Let's check the answer

If she starts with 388.80 dollars, then the dress costs (4/9)*388.80 = 172.80

She's left with 388.80 - 172.80 = 216 dollars after buying the dress.

She then spends the remaining 3/4 of that on shoes. So (3/4)*216 = 162 dollars is spent on the shoes.

Jing now has 216 - 162 = 54 dollars left over.

1/3 of which is spent on the shoe bag, meaning it costs (1/3)*54 = 18 dollars

This confirms our answer.

--------------------

<h3>Answer:  $388.80</h3>
8 0
2 years ago
Three times the difference of a number and nine.​
Nikitich [7]

Answer:

3*x-9

Difference means subtraction and times means multiplication!

6 0
3 years ago
8. In a large population, 63% of the people have been vaccinated. If 4 people are randomly selected, what is the probability tha
Ludmilka [50]
The probability that none of the four have been vaccinated is
  (1-0.63)^4 = 0.01874161

The probability that at least one has been vaccinated is the complement of this,
  ≈0.9813
3 0
3 years ago
In 1987 the average price of gasoline was $0.94. Today the price of gas is about $3.00. What is the percent increase from 1987 t
aleksklad [387]

Answer:

219.15% (2DP)

Step-by-step explanation:

The difference between 0.94 and 3 is 2.06

Percentage change = (change in value/ original amount) X100.

(2.06/0.94) X 100

Which equals 219.15%

The price of gas has increased by 219.15%

3 0
3 years ago
Could someone help me
Strike441 [17]
1. The area of the rectangle is 336. 14 times 24= 336 or width times length= 336.
2. The perimeter of the rectangle is 76. Because, 2 times(14+24)=76
3. If x= 10, the area would still be 336
5 0
2 years ago
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